A natural number is composite if and only if it is not prime. Give a non-deterministic TM over the alphabet E {1, #} that accepts the language of composite numbers encoded as unary numbers (i.e. a natural number n is encoded in the form 1"). A formal definition is not required, but the idea of the TM should be precise. Prove that the language of your TM is indeed the set of composite natural numbers. %3D

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